Finding the Fourth Proportional to 10,642.72, 14,686.96 and 6,169.07

Step by Step Solution

1. Step 1: Write the proportion equation
   10,642.72 : 14,686.96 = 6,169.07 : x
2. Step 2: Convert to fraction form
   10,642.72/14,686.96 = 6,169.07/x
3. Step 3: Cross multiply
   10,642.72x = 14,686.96 × 6,169.07
4. Step 4: Simplify right side
   10,642.72x = 90,604,884.56
5. Step 5: Solve for x
   x = 90,604,884.56/10,642.72
6. Step 6: Final answer
   x = 8,513.32